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Finding the Fourth Proportional to 609,533.96, 914,361 and 210,122.16

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Solution

The fourth proportional to 609,533.96, 914,361 and 210,122.16 is: 315,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,533.96 : 914,361 = 210,122.16 : x
  2. Step 2: Convert to fraction form
    609,533.96/914,361 = 210,122.16/x
  3. Step 3: Cross multiply
    609,533.96x = 914,361 × 210,122.16
  4. Step 4: Simplify right side
    609,533.96x = 192,127,508,339.76
  5. Step 5: Solve for x
    x = 192,127,508,339.76/609,533.96
  6. Step 6: Final answer
    x = 315,203.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.